Black Holes and Large Order Quantum Geometry
arXiv:0704.2440 · doi:10.1103/PhysRevD.79.066001
Abstract
We study five-dimensional black holes obtained by compactifying M theory on Calabi-Yau threefolds. Recent progress in solving topological string theory on compact, one-parameter models allows us to test numerically various conjectures about these black holes. We give convincing evidence that a microscopic description based on Gopakumar-Vafa invariants accounts correctly for their macroscopic entropy, and we check that highly nontrivial cancellations -which seem necessary to resolve the so-called entropy enigma in the OSV conjecture- do in fact occur. We also study analytically small 5d black holes obtained by wrapping M2 branes in the fiber of K3 fibrations. By using heterotic/type II duality we obtain exact formulae for the microscopic degeneracies in various geometries, and we compute their asymptotic expansion for large charges.
42 pages, 20 eps figures, small corrections
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- Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
- Black hole bound states in AdS_3 x S^2
- Small Cosmological Constants in String Theory
- Precision Entropy of Spinning Black Holes
- Near-horizon analysis of D=5 BPS black holes and rings
- Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
- alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
- Topics in Cubic Special Geometry
- Five-dimensional black holes in heterotic string theory
- BPS Spectra, Barcodes and Walls
- State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
- Conformal Quivers and Melting Molecules